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Finding the Fourth Proportional to 3,474.63, 5,212.49 and 1,284.93

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Solution

The fourth proportional to 3,474.63, 5,212.49 and 1,284.93 is: 1,927.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,474.63 : 5,212.49 = 1,284.93 : x
  2. Step 2: Convert to fraction form
    3,474.63/5,212.49 = 1,284.93/x
  3. Step 3: Cross multiply
    3,474.63x = 5,212.49 × 1,284.93
  4. Step 4: Simplify right side
    3,474.63x = 6,697,678.35
  5. Step 5: Solve for x
    x = 6,697,678.35/3,474.63
  6. Step 6: Final answer
    x = 1,927.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.